Universal sequences for complete graphs
β Scribed by N. Alon; Y. Azar; Y. Ravid
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 271 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0166-218X
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## Abstract The critical group of a connected graph is a finite abelian group, whose order is the number of spanning trees in the graph, and which is closely related to the graph Laplacian. Its group structure has been determined for relatively few classes of graphs, e.g., complete graphs and compl
We prove that the graph isomorphism problem restricted to trees and to colored graphs with color multiplicities 2 and 3 is many-one complete for several complexity classes within NC 2 . In particular we show that tree isomorphism, when trees are encoded as strings, is NC 1 -hard under AC 0 -reductio